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Reservoir EngineeringPermeability

Modified Kozeny-Carman Permeability with Percolation Porosity Formula

k=B(ϕϕc)3(1+ϕcϕ)2d2k=B\frac{(\phi-\phi_c)^3}{(1+\phi_c-\phi)^2}d^2

Modified Kozeny-Carman Permeability with Percolation Porosity calculates permeability for permeability workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (B, phi, phi_c, d) are known and the assumptions behind the cited permeability relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, k equals 0 m^2.

Bdimensionless

0.2

phifraction

0.25

phi_cfraction

0.05

dm

0.0002

Inputs

B

dimensionless

Geometric Factor

phi

fraction

Porosity

phi_c

fraction

Percolation Porosity

d

m

Average Grain Diameter

Outputs

k

m^2

Permeability

B

dimensionless

Geometric Factor

d

m

Average Grain Diameter

Source and review

reviewed

Modified Kozeny-Carman relationship, Wikipedia

Wikipedia.org. Modified Kozeny-Carman relationship.

Source

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